Question 251: Waves

Question

The fundamental frequency of sonometer wire is ' $n$ '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

Accepted Answer

$$ \begin{aligned} &	ext { We know that, }\ &\begin{aligned} & f=\frac{1}{2 l} \sqrt{\frac{T}{\mu}} \ 	herefore \quad & f=\frac{1}{2 l^{\prime}} \sqrt{\frac{T}{\mu^{\prime}}}=\frac{1}{6 l} \sqrt{\frac{3 T}{4 \mu}}=\frac{\sqrt{3}}{6} f=\frac{n}{2 \sqrt{3}} \end{aligned} \end{aligned} $$

Answer

$\sqrt{\frac{3}{2}} \mathrm{n}$

Answer

$\frac{\sqrt{3}}{2} n$

Answer

$\frac{n}{2 \sqrt{3}}$

Answer

$2 \sqrt{3} n$

Waves

The fundamental frequency of sonometer wire is ' n '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

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